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Finding the Fourth Proportional to 669.92, 925.16 and 460.62

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Solution

The fourth proportional to 669.92, 925.16 and 460.62 is: 636.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 925.16 = 460.62 : x
  2. Step 2: Convert to fraction form
    669.92/925.16 = 460.62/x
  3. Step 3: Cross multiply
    669.92x = 925.16 × 460.62
  4. Step 4: Simplify right side
    669.92x = 426,144.90
  5. Step 5: Solve for x
    x = 426,144.90/669.92
  6. Step 6: Final answer
    x = 636.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.